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Finding the Fourth Proportional to 391,098.60, 539,745.57 and 219,007.82

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Solution

The fourth proportional to 391,098.60, 539,745.57 and 219,007.82 is: 302,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,098.60 : 539,745.57 = 219,007.82 : x
  2. Step 2: Convert to fraction form
    391,098.60/539,745.57 = 219,007.82/x
  3. Step 3: Cross multiply
    391,098.60x = 539,745.57 × 219,007.82
  4. Step 4: Simplify right side
    391,098.60x = 118,208,497,941.63
  5. Step 5: Solve for x
    x = 118,208,497,941.63/391,098.60
  6. Step 6: Final answer
    x = 302,247.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.